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Principal Solution of Trigonometric Equation

The number of...

Question

The number of roots of the equation x sin x =1 in the interval $0 < x < 2 π$ is___

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Solution

Draw the graph of y= sinx and $y = \frac{1}{x}$ and find point of intersections

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Similar questions

Q. The number of roots of the equation,

x sin x = 1

in the interval

0 < x < 2 π

Q. The number of roots of the equation

x sin x = 1,

lying between -

4 π

4 π,

Q. If both roots of the equation

g (x) = 0

are greater than

- 1,

then sum of roots lies in the interval :

Q. The number of roots of the equation

x + 2 tan x = \frac{π}{2}

in the interval

[0, 2 π]

Q. Assertion :The number of roots of the equation

x sin x = 1 \forall x \in [- 2 π, 0) \cup (0, 2 π]

2

Reason: Number of roots of the equation

y = f (x) = g (x)

are the number of points where two curves meet each other.

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Principal Solution of Trigonometric Equation

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